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Finding the Third Proportional to 659.39 and 1,394.72

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Solution

The third proportional to 659.39 and 1,394.72 is: 2,950.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.39 : 1,394.72 = 1,394.72 : x
  2. Step 2: Convert to fraction form
    659.39/1,394.72 = 1,394.72/x
  3. Step 3: Cross multiply
    659.39x = 1,394.72 × 1,394.72
  4. Step 4: Simplify right side
    659.39x = 1,945,240.39
  5. Step 5: Solve for x
    x = 1,945,240.39/659.39
  6. Step 6: Final answer
    x = 2,950.06

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.